If the momentum of a body is increased n times, its kinetic... | PHYSICS - KINETIC ENERGY | SolveeIt | Solveeit

Today, August 19

Question

If the momentum of a body is increased n times, its kinetic energy increases

A

n times

B

2n times

C

$\sqrt { n }$ times

D

$n ^ { 2 }$ times

Answer

$n ^ { 2 }$ times

Explanation

Solution

$E = \frac { \mathrm { P } ^ { 2 } } { 2 m }$ ∴ $E \propto P ^ { 2 }$ i.e. if P is increased n times then E will increase n² times.